Co Interior Angles


 
 
Concept Explanation
 

Co Interior Angles

Co Interior Angles:

Co-interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give small 180^0 and so are supplementary.

In figure, the following pairs of angles are called pairs of consecutive interior angles: (i)angle 2;and;angle 5;;;;;(ii)angle 3;and;angle 8

Example: Identify co - interior angles from the given figure:

Solution: <2 and <5 are co - interior <2 + <5 = 180.

<3 and <8 are co - interior <3 + <8 = 180.

From the above discussion, we can conclude by considering two parallel lines AB and CD and a transversal L intersects them:

  • (i) each pair of corresponding angles are equal
  • (ii) each pair of alternate interior angles are equal and,
  • (iii) each pair of consecutive interior angles are supplementary.
  • The converse of each of the above statements is also true.

      
    Sample Questions
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    Question : 1

    c and e are ______________-

    Right Option : C
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    Question : 2

    Two parallel lines I and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x-8)^0 and  (3x-7)^0.  Find the measure of these angles.

    Right Option : B
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    Explanation
    Question : 3

    If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is _____________

    Right Option : C
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    Explanation
     
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